22989382416 has 840 divisors, whose sum is σ = 90849810240. Its totient is φ = 5481146880.

The previous prime is 22989382397. The next prime is 22989382433. The reversal of 22989382416 is 61428398922.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 128432215 + ... + 128432393.

It is an arithmetic number, because the mean of its divisors is an integer number (108154536).

Almost surely, 2^22989382416 is an apocalyptic number.

22989382416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22989382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45424905120).

22989382416 is an abundant number, since it is smaller than the sum of its proper divisors (67860427824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22989382416 is a wasteful number, since it uses less digits than its factorization.

22989382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 22989382416 in words is "twenty-two billion, nine hundred eighty-nine million, three hundred eighty-two thousand, four hundred sixteen".